Limits of abstract elementary classes

M. Lieberman, J. Rosicky

We show that the category of abstract elementary classes (AECs) and concrete functors is closed under constructions of ``limit type," which generalizes the approach of Mariano, Zambrano and Villaveces away from the syntactically oriented framework of institutions. Moreover, we provide a broader view of this closure phenomenon, considering a variety of categories of accessible categories with additional structure, and relaxing the assumption that the morphisms be concrete functors.

Keywords: accessible category, abstract elementary class, PIE limit

2010 MSC: 18C35, 03C48, 03C95

Theory and Applications of Categories, Vol. 30, 2015, No. 48, pp 1647-1658.

Published 2015-11-30.

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